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Finding the Fourth Proportional to 685.27, 944.47 and 496.21

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Solution

The fourth proportional to 685.27, 944.47 and 496.21 is: 683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.27 : 944.47 = 496.21 : x
  2. Step 2: Convert to fraction form
    685.27/944.47 = 496.21/x
  3. Step 3: Cross multiply
    685.27x = 944.47 × 496.21
  4. Step 4: Simplify right side
    685.27x = 468,655.46
  5. Step 5: Solve for x
    x = 468,655.46/685.27
  6. Step 6: Final answer
    x = 683.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.